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Control and Estimation of Distributed Parameter Systems: International Conference in Vorau, Austria, July 14-20, 1996

✍ Scribed by H. T. Banks, Gabriella A. Pinter (auth.), W. Desch, F. Kappel, K. Kunisch (eds.)


Publisher
BirkhΓ€user Basel
Year
1998
Tongue
English
Leaves
307
Series
International Series of Numerical Mathematics 126
Edition
1
Category
Library

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✦ Synopsis


Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

✦ Table of Contents


Front Matter....Pages i-x
Approximation Results for Parameter Estimation in Nonlinear Elastomers....Pages 1-13
Preconditioners for Karush-Kuhn-Tucker Matrices Arising in the Optimal Control of Distributed Systems....Pages 15-32
Augmented Lagrangian Algorithms for State Constrained Optimal Control Problems....Pages 33-48
A Priori Estimates for the Approximation of a Parabolic Boundary Control Problem....Pages 49-65
On the Wellposedness of the Chaboche Model....Pages 67-79
On the Behaviour of the Value Function of a Mayer Optimal Control Problem along Optimal Trajectories....Pages 81-88
Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints....Pages 89-102
Designing for Optimal Energy Absorption II, The Damped Wave Equation....Pages 103-109
On the Approximate Controllability for Higher Order Parabolic Nonlinear Equations of Cahn-Hilliard Type....Pages 111-127
Control Problems for Parabolic Equations with State Constraints and Unbounded Control Sets....Pages 129-140
Remarks on the Controllability of Some Stochastic Partial Differential Equations....Pages 141-151
A Reduced Basis Method for Control Problems Governed by PDEs....Pages 153-168
Proximal Penalty Method for Ill-Posed Parabolic Optimal Control Problems....Pages 169-182
On the Control of Coupled Linear Systems....Pages 183-189
On Dynamic Domain Decomposition of Controlled Networks of Elastic Strings and Joint-Masses....Pages 191-205
On a Weakly Damped System Arising in the Control of Noise....Pages 207-222
Dirichlet Boundary Control of Parabolic Systems with Pointwise State Constraints....Pages 223-236
Second Order Optimality Conditions and Stability Estimates for the Identification of Nonlinear Heat Transfer Laws....Pages 237-246
LQR Control of Shell Vibrations via Piezoceramic Actuators....Pages 247-265
The Algebraic Riccati Equation in Discrete and Continuous Time....Pages 267-277
The Wave Equation with Neuman Controls: On Lions’s F Space....Pages 279-285
On the Pointwise Stabilization of a String....Pages 287-295
Exact Controllability of the Generalized Boussinesq Equation....Pages 297-310

✦ Subjects


Numerical Analysis; Systems Theory, Control


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